Chapter 6 Sequences And Series Math 11th Class Punjab MCQ Tests
11th Class Math Chapter 6 MCQ Tests
Chapter 6 of 11th Class Math has 54 questions. If you take an online MCQ test, the system will randomly choose the questions. If you want to take the quiz by chapter then click the start test button.
Total Questions: 54
Total Marks: 54
Time: Mins
Total Questions: 54
Total Marks: 54
Time: Mins
Min : 00 Sec Remaining
Question # 1
G > A > _ _ _ , then ( G > 0 ).
Question # 2
What is the fifth term of the sequence :
Question # 3
1 , 1 / 2 , 1 / 3 , 1 / 4 , 1 / 5 … is an example of converging sequence.
Question # 4
Find the sum of the squares of first 25 natural numbers.
Question # 5
Find four arithmetic means between 8 and − 7.
Question # 6
If n is a natural number, what is the sixth term of the sequence given by Xn = 4 × ( 0.5 )n ?
Question # 7
The sum of 5 A.M.s between 3 and 5 is equal to _____.
Question # 8
A man borrows R s . 32760 without interest and agrees to repay the loan in installments, each installment being twice the preceding one. Find the amount of the last installment, if the amount of the first installment is Rs. 8.
Question # 9
Express the recurring decimal as a fraction.
Question # 10
An arithmetic sequence has a common difference equal to 10 and its 6 th term is equal to 52 . Find its 15 th term.
Question # 11
Find the 11 th term of the sequence, 1 + i , 2 , 4 / 1 + i.
Question # 12
Find the sum of the first n terms of the geometric series if a 1 = 1 and r = 2.
Question # 13
How many bacteria will we have in n hours?
Question # 14
A clock strikes once when its hour hand as at one, twice when it is at two and so on. How many times does the clock strike in twelve hours?
Question # 15
Convert the recurring decimal to a mixed number. Give your answer in its simplest form.
Question # 16
The sum of the reciprocals of three numbers in H.P. is 12 and the product of the numbers is 1 / 48 . Find the numbers.
Question # 17
If the H.M. and A.M. between two numbers are 4 and 9 / 2 , respectively, find the numbers.
Question # 18
A 1 , A 2 , A 3 , A 4 ,
. , A n are said to be n arithmetic means between a and b if a , A 1 , A 2 , A 3 , A 4 ,
. , A n , b is a/an:
Question # 19
Insert four harmonic means between 7 / 3 and 7 / 11.
Question # 20
The enrolment of a famous school doubled after eight years from 1970 to 1994 . If the enrolment was 6000 in 1994 , what was its enrolment in 1970 ?
Question # 21
Insert four G.M.s between 1 and 16.
Question # 22
Find the sum of the series 1 ⋅ 3 ⋅ 5 ⋅ 7 + 3 ⋅ 5 ⋅ 7 ⋅ 9 + 5 ⋅ 7 ⋅ 9 ⋅ 11 + … to 15 terms.
Question # 23
Find if the series is convergent or divergent. If convergent then find its sum:
Question # 24
Find the sum of the cubes of first 50 natural numbers.
Question # 25
Express the recurring decimals as rational number: 0. ˙3˙6.
Question # 26
Find the geometric mean of 5 , 20 , 40 , 80.
Question # 27
A man deposits in a bank Rs. 8 in the first year, R s . 24 in the second year, R s . 72 in the third year and so on. Find the amount he will have deposited in the bank by the fifth year.
Question # 28
Insert four harmonic means between 1 / 3 and 1 / 23.
Question # 29
Solve
Question # 30
The sum of 7 A.M.s between 2 and 14 is equal to _____.
Question # 31
Find the nth term of the geometric sequence:
Question # 32
G2 = A . _ _ _ .
Question # 33
Write the first four terms of the sequence: An = ( −n3 )
Question # 34
A clock strikes once when its hour hand as at one, twice when it is at two and so on. How many times does the clock strike in twelve hours?
Question # 35
A < G < _ _ _ , where ( G > 0 ) .
Question # 36
The population of a certain village is 62500 . What will be its population after 3 years if it increases geometrically at the rate of 4 % annually?
Question # 37
Find 20 arithmetic means between 4 and 67.
Question # 38
A.M. between is:
Question # 39
Find four geometric means between 4096 and 972.
Question # 40
An arithmetic sequence has its 5 th term equal to 22 and its 15 th term equal to 62 . Find its 100 th term.
Question # 41
Describe the sequence using the words convergent, divergent and periodic as appropriate.
Question # 42
Find the sum of the series 1 ⋅ 4 ⋅ 7 + 4 ⋅ 7 ⋅ 10 + 7 ⋅ 10 ⋅ 13 + … to 10 terms.
Question # 43
0.3333 … is approximately equal to _____.
Question # 44
1.363636 … is approximately equal to _____.
Question # 45
If the pyramid shaped office building has 10 windows in the first row and adds 3 windows every row, find how many windows are in row 15 and how many total windows in row 15?
Question # 46
John recruited 2 persons for the networking business. After a week, he recruited 5 persons again and on the 5 th week of recruitment, he recruited another 14 persons for the networking business. If this continues, how many persons did John already recruited after the 6 th week of recruitment?
Question # 47
Here is a number pattern. Find the missing number: 11 , 17 , 23 , x , 35 , 41.
Question # 48
Here is a number pattern. Find the missing number: 63 , 55 , 47 , x , 31 , 23.
Question # 49
A marathon race was completed by 5 participants in the times given. What is the mean race time for this marathon? 2.7 hours, 8.3 hours, 3.5 hours, 5.1 hours, 4.9 hours.
Question # 50
Insert four G.M.s between 2 and 32.
Question # 51
What is the geometric mean of 4 , 8.3 , 9 and 17?
Question # 52
In an H.P. the p th term is q r and q th term is p r , then r th term is:
Question # 53
The sum of n A.M.s between a and b is equal to _____.
Question # 54
Find the sum of the infinite geometric series:
Total Questions
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354
Question # 1
G > A > _ _ _ , then ( G > 0 ).
Question # 2
What is the fifth term of the sequence :
Question # 3
1 , 1 / 2 , 1 / 3 , 1 / 4 , 1 / 5 … is an example of converging sequence.
Question # 4
Find the sum of the squares of first 25 natural numbers.
Question # 5
Find four arithmetic means between 8 and − 7.
Question # 6
If n is a natural number, what is the sixth term of the sequence given by Xn = 4 × ( 0.5 )n ?
Question # 7
The sum of 5 A.M.s between 3 and 5 is equal to _____.
Question # 8
A man borrows R s . 32760 without interest and agrees to repay the loan in installments, each installment being twice the preceding one. Find the amount of the last installment, if the amount of the first installment is Rs. 8.
Question # 9
Express the recurring decimal as a fraction.
Question # 10
An arithmetic sequence has a common difference equal to 10 and its 6 th term is equal to 52 . Find its 15 th term.
Question # 11
Find the 11 th term of the sequence, 1 + i , 2 , 4 / 1 + i.
Question # 12
Find the sum of the first n terms of the geometric series if a 1 = 1 and r = 2.
Question # 13
How many bacteria will we have in n hours?
Question # 14
A clock strikes once when its hour hand as at one, twice when it is at two and so on. How many times does the clock strike in twelve hours?
Question # 15
Convert the recurring decimal to a mixed number. Give your answer in its simplest form.
Question # 16
The sum of the reciprocals of three numbers in H.P. is 12 and the product of the numbers is 1 / 48 . Find the numbers.
Question # 17
If the H.M. and A.M. between two numbers are 4 and 9 / 2 , respectively, find the numbers.
Question # 18
A 1 , A 2 , A 3 , A 4 ,
. , A n are said to be n arithmetic means between a and b if a , A 1 , A 2 , A 3 , A 4 ,
. , A n , b is a/an:
Question # 19
Insert four harmonic means between 7 / 3 and 7 / 11.
Question # 20
The enrolment of a famous school doubled after eight years from 1970 to 1994 . If the enrolment was 6000 in 1994 , what was its enrolment in 1970 ?
Question # 21
Insert four G.M.s between 1 and 16.
Question # 22
Find the sum of the series 1 ⋅ 3 ⋅ 5 ⋅ 7 + 3 ⋅ 5 ⋅ 7 ⋅ 9 + 5 ⋅ 7 ⋅ 9 ⋅ 11 + … to 15 terms.
Question # 23
Find if the series is convergent or divergent. If convergent then find its sum:
Question # 24
Find the sum of the cubes of first 50 natural numbers.
Question # 25
Express the recurring decimals as rational number: 0. ˙3˙6.
Question # 26
Find the geometric mean of 5 , 20 , 40 , 80.
Question # 27
A man deposits in a bank Rs. 8 in the first year, R s . 24 in the second year, R s . 72 in the third year and so on. Find the amount he will have deposited in the bank by the fifth year.
Question # 28
Insert four harmonic means between 1 / 3 and 1 / 23.
Question # 29
Solve
Question # 30
The sum of 7 A.M.s between 2 and 14 is equal to _____.
Question # 31
Find the nth term of the geometric sequence:
Question # 32
G2 = A . _ _ _ .
Question # 33
Write the first four terms of the sequence: An = ( −n3 )
Question # 34
A clock strikes once when its hour hand as at one, twice when it is at two and so on. How many times does the clock strike in twelve hours?
Question # 35
A < G < _ _ _ , where ( G > 0 ) .
Question # 36
The population of a certain village is 62500 . What will be its population after 3 years if it increases geometrically at the rate of 4 % annually?
Question # 37
Find 20 arithmetic means between 4 and 67.
Question # 38
A.M. between is:
Question # 39
Find four geometric means between 4096 and 972.
Question # 40
An arithmetic sequence has its 5 th term equal to 22 and its 15 th term equal to 62 . Find its 100 th term.
Question # 41
Describe the sequence using the words convergent, divergent and periodic as appropriate.
Question # 42
Find the sum of the series 1 ⋅ 4 ⋅ 7 + 4 ⋅ 7 ⋅ 10 + 7 ⋅ 10 ⋅ 13 + … to 10 terms.
Question # 43
0.3333 … is approximately equal to _____.
Question # 44
1.363636 … is approximately equal to _____.
Question # 45
If the pyramid shaped office building has 10 windows in the first row and adds 3 windows every row, find how many windows are in row 15 and how many total windows in row 15?
Question # 46
John recruited 2 persons for the networking business. After a week, he recruited 5 persons again and on the 5 th week of recruitment, he recruited another 14 persons for the networking business. If this continues, how many persons did John already recruited after the 6 th week of recruitment?
Question # 47
Here is a number pattern. Find the missing number: 11 , 17 , 23 , x , 35 , 41.
Question # 48
Here is a number pattern. Find the missing number: 63 , 55 , 47 , x , 31 , 23.
Question # 49
A marathon race was completed by 5 participants in the times given. What is the mean race time for this marathon? 2.7 hours, 8.3 hours, 3.5 hours, 5.1 hours, 4.9 hours.
Question # 50
Insert four G.M.s between 2 and 32.
Question # 51
What is the geometric mean of 4 , 8.3 , 9 and 17?
Question # 52
In an H.P. the p th term is q r and q th term is p r , then r th term is:
Question # 53
The sum of n A.M.s between a and b is equal to _____.
Question # 54
Find the sum of the infinite geometric series:
Total Questions
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354
Math MCQ Test by Topics
- +6.1 Introduction
- +6.2 Types of sequences
- +6.1 Exercise
- +6.3 Arithmetic Progression (A.P)
- +6.2 Exercise
- +6.4 Arithmetic Mean (A.M)
- +6.4.1 n Arithmetic Means Between two given numbers
- +6.3 Exercise
- +6.5 Series
- +6.5 Sum of first n terms of an arithmetic series
- +6.4 Exercise
- +6.6 Word Problems on A.p
- +6.5 Exercise
- +6.7 Geometric Progression (G.P)
- +6.6 Exercise
- +6.8 Geometric Means
- +6.8.1 n Geometric Means Between two given numbers
- +6.7 Exercise
- +6.9 Sum of n terms of a Geometric Series
- +6.10 The Infinite Geometric Series
- +6.8 Exercise
- +6.11 Word Problems on G.P
- +6.9 Exercise
- +6.12 Harmonic Progression (H.P)
- +6.12.1 Harmonic Mean
- +6.12.2 n Harmonic Means between two numbers
- +6.13 Relations between Arithmetic, Geometric and Harmonic Means
- +6.10 Exercise
- +6.14 Sigma Notation (or Summation Notation)
- +6.15 To Find the Formulae for the Sums
- +6.11 Exercise
Math
- Number Systems
- Sets, Functions and Groups
- Matrices and Determinanls
- Quadratic Equations
- Partial Fractions
- Sequences and Series
- Permutation, Combination and Probability
- Mathematical Inductions and Bionomial Theorem
- Fundamentals of Trigonometry
- Trigonometric Identities
- Trigonometric Functions and their Graphs
- Application of Trigonometry
- Inverse Trigonometric Functions
- Solution of Trignometric Equations
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